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Related papers: Chaotic scattering through coupled cavities

200 papers

We study a simple model of dephasing of Aharonov-Bohm oscillations in the transmission of an electron across a mesoscopic ring. A magnetic impurity in one of the arms of the ring couples to the electron spin via an exchange interaction.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

We present a discussion of the charge response and the charge fluctuations of mesoscopic chaotic cavities in terms of a generalized Wigner-Smith matrix. The Wigner-Smith matrix is well known in investigations of time-delay of quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Buttiker , M. L. Polianski

The Aharonov-Bohm ring has been the mainstay of mesoscopic physics research since its inception. In this paper we have dwelt on the problem of dephasing of AB oscillations using a phenomenological model based on stochastic absorption. To…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Colin Benjamin , A. M. Jayannavar

We develop a statistical theory that describes quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of physical systems, ranging from…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Pier A. Mello , Victor A. Gopar , J. A. Mendez-Bermudez

We develop a statistical theory describing quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of systems, ranging from atomic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. A. Mello , H. U. Baranger

We consider the statistics of the impedance of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the experimental data using the radiation impedance obtained directly from the…

Chaotic Dynamics · Physics 2007-05-23 Sameer Hemmady , Xing Zheng , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

We study the quantum-interference effect in the ballistic Aharonov-Bohm (AB) billiard. The wave-number averaged conductance and the correlation function of the non-averaged conductance are calculated by use of semiclassical theory. Chaotic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shiro Kawabata

We investigate the conductance statistics of a quantum-chaotic dot--a normal-metal grain--with a superconducting lead attached to it. The cases of one and two normal leads additionally attached to the dot are studied. For these two…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 Victor A. Gopar , J. A. Mendez-Bermudez , Arafa H. Aly

We present an analysis of scattering by a fluid-mechanical `black hole analogue', known as the draining bathtub vortex: a two-dimensional flow which possesses both a sonic horizon and an ergoregion. We consider the scattering of a plane…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Sam R. Dolan , Ednilton S. Oliveira

Effect of a complicated many-body environment is analyzed on the chaotic motion of a quantum particle in a mesoscopic ballistic structure. The dephasing and absorption phenomena are treated on the same footing in the framework of a model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Valentin V. Sokolov

We study the joint statistics of conductance $G$ and shot noise $P$ in chaotic cavities supporting a large number $N$ of open electronic channels in the two attached leads. We determine the full phase diagram in the $(G,P)$ plane, employing…

Statistical Mechanics · Physics 2015-06-22 Fabio Deelan Cunden , Paolo Facchi , Pierpaolo Vivo

In Aharonov-Bohm (AB) cavities forming doubly connected ballistic structures, h/e AB oscillations that result from the interference among the complicated trapped paths in the cavity can be described by the framework of the semiclassical…

Chaotic Dynamics · Physics 2009-10-31 Shiro Kawabata

We investigate the persistent current in a hybrid Aharonov-Bohm ring - quantum dot system coupled to a reservoir which provides spin fluctuations. It is shown that the spin exchange interaction between the quantum dot and the reservoir…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kicheon Kang , Sam Young Cho , Kyoung Wan Park

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

Mathematical Physics · Physics 2011-03-11 Anton Krynkin , Olga Umnova , Alvin Y. B. Chong , Shahram Taherzadeh , Keith Attenborough

Quantum transport through left-right symmetric chaotic cavities in the presence of the symplectic symmetry, is studied through the statistical distribution of the dimensionless conductance. With this particular point symmetry, their…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Felipe Castañeda-Ramírez , Moisés Martínez-Mares

We present a detailed analysis of the Aharonov-Bohm interference oscillations manifested through transmission of an electron in a mesoscopic ring with a magnetic impurity atom inserted in one of its arms. The electron interacts with the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

Inelastic scattering induces dephasing in mesoscopic systems. An analysis of previous models to simulate inelastic scattering in such systems is presented and also a relatively new model based on wave attenuation is introduced. The problem…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Jayannavar , Colin Benjamin

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

As devices to control spin currents using the spin-orbit interaction are proposed and implemented, it is important to understand the fluctuations that spin-orbit coupling can impose on transmission through a quantum dot. Using random matrix…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jacob J. Krich

We present a quantum calculation based on scattering theory of the frequency dependent noise of current in an interacting chaotic cavity. We include interactions of the electron system via long range Coulomb forces between the conductor and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 F. W. J. Hekking , J. P. Pekola